Hierarchical graphic organizer

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Hierarchical Graphic Organizer Category Subcatego ry Subcatego ry Subcatego ry List examples of each type

Transcript of Hierarchical graphic organizer

Page 1: Hierarchical graphic organizer

Hierarchical Graphic Organizer

Category

Subcategory Subcategory Subcategory

List examples of each type

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Graphic Organizer – example

Algebra

Equations Inequalities

2x +

3 =

15

10y

= 10

04x

= 1

0x -

6

14 < 3x + 7

2x > y

6y ≥ 15

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Category

What is it?Illustration/Example

What are some examples?

Properties/Attributes

What is it like?

Subcategory

Irregular set

Compare and Contrast

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Positive Integers

Numbers

What is it?Illustration/Example

What are some examples?

Properties/Attributes

What is it like?

Fractions

Compare and Contrast - example

Whole Numbers Negative Integers

Zero

-3, -8, -4000

6, 17, 25, 100

0

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Comparing and Contrasting

• Double Bubble Map

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Compare and contrast Double bubble map.

Here there is a student answer

Make a double bubble map and compare the two equations and x

ky

2x

ky

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Square Rectangle

Must have parallel lines

Straight

lines

Plane

Figure

Right angle

All around

One set of

Parallel lines

Longer than the other

4 Equal

Sides

Make a double bubble map and compare a Square and a Rectangle

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Multiple Meanings

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Multiple Meanings – example

TRI-ANGLES

Right Equiangular

Acute Obtuse

3 sides

3 angles

1 angle = 90°

3 sides

3 angles

3 angles < 90°

3 sides

3 angles

3 angles = 60°

3 sides

3 angles

1 angle > 90°

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Four-Square Graphic Organizer

1. Word: 2. Example:

3. Non-example:4. Definition

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Four-Square Graphic Organizer – example

1. Word: semicircle 2. Example:

3. Non-example:4. Definition

A semicircle is half of a circle.

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Venn Diagram

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Quadrilateral

Trapezoid

Parallelogram

RhombusSquare

Rectangle

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Flow maps

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Student Example

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Matching Activity

• Divide into groups

• Match the problem sets with the appropriate graphic organizer

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Matching Activity

• Which graphic organizer would be most suitable for showing these relationships?

• Why did you choose this type?

• Are there alternative choices?

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Problem Set 1

Parallelogram Rhombus

Square Quadrilateral

Polygon Kite

Irregular polygon Trapezoid

Isosceles Trapezoid Rectangle

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Problem Set 2

Counting Numbers: 1, 2, 3, 4, 5, 6, . . .

Whole Numbers: 0, 1, 2, 3, 4, . . .

Integers: . . . -3, -2, -1, 0, 1, 2, 3, 4. . .

Rationals: 0, …1/10, …1/5, …1/4, ... 33, …1/2, …1

Reals: all numbers

Irrationals: π, non-repeating decimal

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Problem Set 3Addition Multiplication a + b a times b a plus b a x b sum of a and b a(b)

ab

Subtraction Divisiona – b a/ba minus b a divided by ba less b b) a

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Problem Set 4Use the following words to organize into categories and subcategories of

Mathematics:NUMBERS, OPERATIONS, Postulates, RULE, Triangles, GEOMETRIC FIGURES, SYMBOLS, corollaries, squares, rational, prime, Integers, addition, hexagon, irrational, {1, 2, 3…}, multiplication, composite, m || n, whole, quadrilateral, subtraction, division.

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Possible Solution to PS #1

POLYGON

Parallelogram:has 2 pairs ofparallel sides

Kite

Square, rectangle,rhombus

Kite: has 0 sets ofparallel sides

Irregular: 4 sidesw/irregular shape

Quadrilateral Trapezoid: has 1 set of parallel

sides

Trapezoid, isosceles trapezoid

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Possible Solution to PS #2

REAL NUMBERS

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Possible Solution PS #3

Operations

Subtraction

MultiplicationDivision

Addition

____a + b____

___a plus b___

Sum of a and b

____a - b_____

__a minus b___

___a less b____

____a / b_____

_a divided by b_

_____a b_____

___a times b_______a x b__________a(b)__________ab______

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Possible Solution to PS #4

Numbers Operations Rules Symbols

GeometricFigures

Mathematics

Triangle

Quadrilateral

HexagonInteger

Prime

Rational

Irrational

Whole

Composite

Addition

Subtraction

Multiplication

Division

Corollary

Postulate m║n

√4

{1,2,3…}